83767930920 has 256 divisors, whose sum is σ = 289142784000. Its totient is φ = 21549369600.

The previous prime is 83767930877. The next prime is 83767930957. The reversal of 83767930920 is 2903976738.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11078101 + ... + 11085659.

It is an arithmetic number, because the mean of its divisors is an integer number (1129464000).

Almost surely, 2^83767930920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83767930920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144571392000).

83767930920 is an abundant number, since it is smaller than the sum of its proper divisors (205374853080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

83767930920 is a wasteful number, since it uses less digits than its factorization.

83767930920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7941 (or 7931 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 83767930920 in words is "eighty-three billion, seven hundred sixty-seven million, nine hundred thirty thousand, nine hundred twenty".